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In this paper, we implemented both sequential and parallel version of fractal image compression algorithms using CUDA (Compute Unified Device Architecture) programming model for parallelizing the program in Graphics Processing Unit for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-04 Md. Enamul Haque , Abdullah Al Kaisan , Mahmudur R Saniat , Aminur Rahman

As nature is ascribed as quantum, the fractals also pose some intriguing appearance which is found in many micro and macro observable entities or phenomena. Fractals show self-similarity across sizes; structures that resemble the entire are…

Quantum Physics · Physics 2025-08-27 Hillol Biswas

Fractals offer the ability to generate fascinating geometric shapes with all sorts of unique characteristics (for instance, fractal geometry provides a basis for modelling infinite detail found in nature). While fractals are non-euclidean…

Computational Geometry · Computer Science 2023-03-28 Ben Kenwright

In this paper we examine a number of models that generate random fractals. The models are studied using the tools of computational complexity theory from the perspective of parallel computation. Diffusion limited aggregation and several…

Condensed Matter · Physics 2009-10-28 J. Machta , R. Greenlaw

Study of general purpose computation by GPU (Graphics Processing Unit) can improve the image processing capability of micro-computer system. This paper studies the parallelism of the different stages of decimation in time radix 2 FFT…

Mathematical Software · Computer Science 2015-06-01 Feifei Shen , Zhenjian Song , Congrui Wu , Jiaqi Geng , Qingyun Wang

This work presents a GPU thread mapping approach that allows doing fast parallel stencil-like computations on discrete fractals using their compact representation. The intuition behind is to employ two GPU tensor-core accelerated thread…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Felipe A. Quezada , Cristóbal A. Navarro

Ray tracing is a technique for generating an image by tracing the path of light through pixels in an image plane and simulating the effects of high-quality global illumination at a heavy computational cost. Because of the high computation…

Graphics · Computer Science 2015-04-14 Yutong Qin , Jianbiao Lin , Xiang Huang

We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding…

Chaotic Dynamics · Physics 2007-05-23 R. Kobes , H. Letkeman

This work presents a differentiable rendering approach that allows latent fractal flame parameters to be learned from image supervision using gradient descent optimization. The approach extends the state-of-the-art in differentiable…

Graphics · Computer Science 2025-01-14 Jordan J. Bannister , Derek Nowrouzezahrai

Modularization is a cornerstone of computer science, abstracting complex functions into atomic building blocks. In this paper, we introduce a new level of modularization by abstracting generative models into atomic generative modules.…

Machine Learning · Computer Science 2025-02-26 Tianhong Li , Qinyi Sun , Lijie Fan , Kaiming He

Efficient and real time segmentation of color images has a variety of importance in many fields of computer vision such as image compression, medical imaging, mapping and autonomous navigation. Being one of the most computationally…

Computer Vision and Pattern Recognition · Computer Science 2017-10-09 Roopal Nahar , Akanksha Baranwal , K. Madhava Krishna

The generalization performance of AI-generated image detection remains a critical challenge. Although most existing methods perform well in detecting images from generative models included in the training set, their accuracy drops…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Shengpeng Xiao , Yuanfang Guo , Heqi Peng , Zeming Liu , Liang Yang , Yunhong Wang

Fractals are geometric shapes that can display complex and self-similar patterns found in nature (e.g., clouds and plants). Recent works in visual recognition have leveraged this property to create random fractal images for model…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Cheng-Hao Tu , Hong-You Chen , David Carlyn , Wei-Lun Chao

We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. This work substantially generalizes earlier work on fractal tops. The approach involves…

Geometric Topology · Mathematics 2011-02-17 Michael F. Barnsley , Brendan Harding , Konstantin Igudesman

Fractal geometry, defined by self-similar patterns across scales, is crucial for understanding natural structures. This work addresses the fractal inverse problem, which involves extracting fractal codes from images to explain these…

Graphics · Computer Science 2025-02-25 Adarsh Djeacoumar , Felix Mujkanovic , Hans-Peter Seidel , Thomas Leimkühler

The future of high-performance computing is aligning itself towards the efficient use of highly parallel computing environments. One application where the use of massive parallelism comes instinctively is Monte Carlo simulations, where a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 S. Hissoiny , P. Després , B. Ozell

Graph neural networks are widely used in machine learning applied to chemistry, and in particular for material science discovery. For crystalline materials, however, generating graph-based representation from geometrical information for…

Materials Science · Physics 2023-07-12 Astrid Klipfel , Yaël Frégier , Adlane Sayede , Zied Bouraoui

Plasma fractals is a technique to generate random and realistic clouds, textures and terrains~-- traditionally using recursive subdivision. We demonstrate a new approach, based on iterative expansion. It gives a family of algorithms that…

Graphics · Computer Science 2022-12-26 Oleg Kiselyov , Toshihiro Nakayama

File carving is one of the most important procedures in Digital Forensic Investigation (DFI). But it is also requires the most computational resources. Parallel processing on Graphics Processing Units have proven to be many times faster…

Cryptography and Security · Computer Science 2012-05-02 Nebojša Škrbina , Toni Stojanovski

In recent years graphical processing units (GPUs) have become a powerful tool in scientific computing. Their potential to speed up highly parallel applications brings the power of high performance computing to a wider range of users.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-26 Uldis Locans , Andreas Adelmann , Andreas Suter , Jannis Fischer , Werner Lustermann , Gunther Dissertori , Qiulin Wang
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